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In situ estimation of applied biaxial loads with Lamb waves
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10.1121/1.4773867
/content/asa/journal/jasa/133/2/10.1121/1.4773867
http://aip.metastore.ingenta.com/content/asa/journal/jasa/133/2/10.1121/1.4773867

Figures

Image of FIG. 1.
FIG. 1.

Geometry for guided wave propagation in a prestressed aluminum plate.

Image of FIG. 2.
FIG. 2.

(Color online) Effects of an applied load on the S0 mode for σ 11 = 30 MPa, σ 22 = 80 MPa, and α = 0°. (a) Dispersion curves at different propagation angles in a frequency band entered at 400 kHz. (b) Changes of phase velocity at 400 kHz.

Image of FIG. 3.
FIG. 3.

Phase velocity changes for the S0 mode at 400 kHz versus propagation angle for different applied loads. (a) σ 11 = 50 MPa, σ 22 = 100 MPa, and α = 30°. (b) σ 11 = 10 MPa, σ 22 = 40 MPa, and α = 90°.

Image of FIG. 4.
FIG. 4.

(Color online) Effect of noisy measurements of phase velocity changes on recovered load parameters σ 11, σ 22, and α. (a) Standard deviation of recovered parameters versus number of measurement angles for a noise standard deviation of 2 m/s. (b) Standard deviation of recovered parameters versus noise standard deviation for 15 measurement angles. For all cases the measurement angles are equally spaced from −90° to +90°.

Image of FIG. 5.
FIG. 5.

(Color online) Specimen and transducer geometry for (a) plate 1 and (b) plate 2 (not to scale).

Image of FIG. 6.
FIG. 6.

(Color online) (a) First arrivals of transducer pair 2–5, data set 1 (no holes, no cracks) for all 11 uniaxial loading conditions of plate 1. The cross (×) indicates the zero crossing time at zero load, and the asterisk ( ) symbols on the inset plot are the signal samples. (b) Zero crossing times versus load for transducer pair 2–5, data set 1 (line connects first and last points).

Image of FIG. 7.
FIG. 7.

Phase velocity change versus angle for data set 1 of plate 1 when σ 11 = 0 MPa, σ 22 = 92 MPa, α = 0°.

Image of FIG. 8.
FIG. 8.

Experimental data and sinusoidal fit of phase velocity change versus angle for data set 9. (a) σ 11 = 0 MPa, σ 22 = 46 MPa, and α = 0°. (b) σ 11 = 0 MPa, σ 22 = 92 MPa, and α = 0°.

Image of FIG. 9.
FIG. 9.

(Color online) Estimated stresses and orientation angles for all data sets of plate 1. (a) σ 11 = 0 MPa, σ 22 = 46 MPa, and α = 0°. (b) σ 11 = 0 MPa, σ 22 = 92 MPa, and α = 0°.

Image of FIG. 10.
FIG. 10.

(Color online) Estimated stresses and orientation angles for all data sets of plate 2. (a) σ 11 = 0 MPa, σ 22 = 46 MPa, and α = 0°. (b) σ 11 = 0 MPa, σ 22 = 92 MPa, and α = 0°.

Tables

Generic image for table
TABLE I.

Material properties of aluminum used for simulations.

Generic image for table
TABLE II.

Descriptions of data sets recorded during fatigue tests of the two plates.

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/content/asa/journal/jasa/133/2/10.1121/1.4773867
2013-01-30
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: In situ estimation of applied biaxial loads with Lamb waves
http://aip.metastore.ingenta.com/content/asa/journal/jasa/133/2/10.1121/1.4773867
10.1121/1.4773867
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